THE SIGMA INDEX OF GRAPH OPERATIONS
Authors : Akbar Jahanbani, Süleyman Ediz
Pages : 155-162
View : 7 | Download : 3
Publication Date : 2019-03-01
Article Type : Research
Abstract :Let G be a graph of order n with vertices labeled as v1, v2, …, vn. Let di be the degree of the vertex vi, for i = 1, 2, …, n. The sigma index, which have been defined very recently, of G is (G) = ΣvivjE(G)(di dj)2. In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.Keywords : Graph operations, sigma index, zagreb index.